1 [1, 1, 1]
 2 [3, 5, 6]
 3 [6, 7, 10]
 4 [11, 29, 36]
 5 [14, 47, 56]
 6 [47, 59, 100]
 7 [59, 110, 162]
 8 [23, 241, 256]
 9 [31, 239, 261]
10 [187, 239, 416]
11 [447, 620, 1056]
12 [239, 1853, 2080]
13 [1439, 1775, 3201]
14 [1663, 2735, 4384]

allocatemem(2^28)
{
M(v, P,Q) =
  m = v;  P = vector(v+1,i,binomial(v,i-1));
  while(1,
    m++;  P = concat(0,P) + concat(P,0);  Q = P % prod(i=0,v-1,m-i);
    for(a=1,m2, if(Q[a+1]==0, return([a,m-a,m-v])))
  )
}
for(v=1,14,print(v,M(v)))

3, 5, 6, 2
6, 7, 10, 3
11, 29, 36, 4
14, 47, 56, 5
47, 59, 100, 6
59, 110, 162, 7
23, 241, 256, 8
31, 239, 261, 9
187, 239, 416, 10
447, 620, 1056, 11
239, 1853, 2080, 12
1439, 1775, 3201, 13
1663, 2735, 4384, 14
14335, 18458, 32778, 15
9209, 23615, 32808, 16
13106, 52447, 65536, 17
26207, 39347, 65536, 18
34719, 227444, 262144, 19
109237, 152927, 262144, 20
59039, 465398, 524416, 21
230111, 294839, 524928, 22
496123, 3698204, 4194304, 23
1007871, 3186457, 4194304, 24
983546, 7405087, 8388608, 25
1029947, 7358687, 8388608, 26
527036, 33027423, 33554432, 27
2479487, 31074973, 33554432, 28

2, 3, 4, 1
2, 7, 8, 1
5, 14, 16, 3
9, 26, 32, 3
19, 49, 64, 4
17, 116, 128, 5
23, 241, 256, 8
53, 467, 512, 8
314, 719, 1024, 9
482, 1574, 2048, 8
1943, 2164, 4096, 11
1979, 6227, 8192, 14
3317, 13081, 16384, 14
6548, 26234, 32768, 14
26207, 39347, 65536, 18
56375, 74354, 131072, 17
109237, 152927, 262144, 20
58559, 465749, 524288, 20
117350, 931247, 1048576, 21
511613, 1585561, 2097152, 22
1007871, 3186457, 4194304, 24
1029947, 7358687, 8388608, 26
839773, 15937469, 16777216, 26
2479487, 31074973, 33554432, 28
28499711, 38609183, 67108864, 30
13640318, 120577439, 134217728, 29
26335607, 242099879, 268435456, 30
149450463, 387420479, 536870912, 30
42571871, 1031169982, 1073741824, 30
210421817, 1937061863, 2147483648, 32
808182959, 3486784371, 4294967296, 34
66684221, 8523250405, 8589934592, 34
57373109, 17122496111, 17179869184, 36
1071383543, 33288354863, 34359738368, 38
194490575, 68524986199, 68719476736, 38
722568911, 136716384599, 137438953472, 38
2908726651, 27196918033, 274877906944, 40
5820696123, 543935117807, 549755813888, 42
275025321599, 824486306219, 1099511627776, 42 (?)

c_curr = c_head + offsets[i];
    while(c_curr <= c_tail) {
        *c_curr = 0;
         c_curr+=this_prime;
     }

     offsets[i] = (c_curr - c_head) - (BUFFER_SIZE);
     if (offsets[i] == this_prime)
          offsets[i] = 0;